MAYBE
0.09/0.18	MAYBE
0.09/0.18	
0.09/0.18	Problem:
0.09/0.18	 fact(X) -> if(zero(X),n__s(n__0()),n__prod(X,n__fact(n__p(X))))
0.09/0.18	 add(0(),X) -> X
0.09/0.18	 add(s(X),Y) -> s(add(X,Y))
0.09/0.18	 prod(0(),X) -> 0()
0.09/0.18	 prod(s(X),Y) -> add(Y,prod(X,Y))
0.09/0.18	 if(true(),X,Y) -> activate(X)
0.09/0.18	 if(false(),X,Y) -> activate(Y)
0.09/0.18	 zero(0()) -> true()
0.09/0.18	 zero(s(X)) -> false()
0.09/0.18	 p(s(X)) -> X
0.09/0.18	 s(X) -> n__s(X)
0.09/0.18	 0() -> n__0()
0.09/0.18	 prod(X1,X2) -> n__prod(X1,X2)
0.09/0.18	 fact(X) -> n__fact(X)
0.09/0.18	 p(X) -> n__p(X)
0.09/0.18	 activate(n__s(X)) -> s(activate(X))
0.09/0.18	 activate(n__0()) -> 0()
0.09/0.18	 activate(n__prod(X1,X2)) -> prod(activate(X1),activate(X2))
0.09/0.18	 activate(n__fact(X)) -> fact(activate(X))
0.09/0.18	 activate(n__p(X)) -> p(activate(X))
0.09/0.18	 activate(X) -> X
0.09/0.18	
0.09/0.18	Proof:
0.09/0.18	 Open
0.09/0.18	EOF